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Some properties of Rho-b statistics

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Abstract

This article asseses the utility of Spearman's rho-b in path analyses. First, the performance of rho-based statistics are tested against Kim's criteria. The method works quite well on monotonic data, and under certain circumstances perfect detection of underlying interval structures is possible. Second, problems of implementing multivariate analyses with Spearman statistics are discussed. The simplest procedure is to recode the variables as ranks and to use Pearson algorithms and tests of significance. These are valid.

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References

  • Blalock, Hubert M. Jr. (1975). “Can we find a genuine ordinal slope analogue?” pp. 195–229 in David R. Heise, ed., Sociology methodology 1976. San Francisco; Jossey-Bass.

    Google Scholar 

  • Hays, William L. (1963). Statistics. New York: Holt, Rinehart and Winston.

    Google Scholar 

  • Iman, Ronald L. and Conover, W.J. (1979). “The use of the rank transform in regression”, Technometrics 21 (4): 499–509.

    Google Scholar 

  • Kim, Jae-On (1975), “Multivariate analysis of ordinal variables”, American Journal of Sociology 81: 261–298.

    Google Scholar 

  • Kim, Jae-On (1978). “Multivariate analysis of ordinal variables revisited”, American Journal of Sociology 84, 2: 448–456.

    Google Scholar 

  • Nie, Norman H., Hadlai Hull, C., Jenkins, Jean G., Steinbrenner, Karin and Bent, Dale H. (1975) Statistical Package for the Social Sciences. New York: McGraw-Hill.

    Google Scholar 

  • SAS Institute (1982). SAS User's Guide: Statistics. Cary, NC: SAS Institute Inc., Box 8000.

    Google Scholar 

  • Smith, Robert B. (1977). “A proportional reduction in error interpretation for Daniels' gamma squared and its special cases”. Social Forces 55: 1967–1975.

    Google Scholar 

  • Smith, Robert B. (1978) “Nonparametric path analysis: comments on Kim's ‘Multivariate Analysis of Ordinal Variables”, American Journal of Sociology 84: 437–448.

    Google Scholar 

  • Smith, Robert B. (1985): “Spearman's Rho-b, r and the Path Analysis of Contingency Tables”, Quality and Quantity.

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Smith, R.B. Some properties of Rho-b statistics. Qual Quant 20, 53–74 (1986). https://doi.org/10.1007/BF00177963

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  • DOI: https://doi.org/10.1007/BF00177963

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